In a sweepstakes sponsored by Gemini Paper Products, 175,000 entries have been received. If 1 grand prize is drawn, and 3 first prizes, 25 second prizes, and 400 third prizes are to be awarded, what is the probability that a person who has submitted one entry will win the following?

(A) The Grand prize

(B) A prize

Respuesta :

Answer:

The correct answer are given by (A) [tex]\frac{1}{175000}[/tex] ; (B) [tex]\frac{429}{175000}[/tex].

Step-by-step explanation:

Total number of entries to the sweepstakes offered by Gemini Paper Products = 175,000.

Total number of prizes to be awarded includes 1 grand prize, 3 first prizes, 25 second prizes and 400 third prizes = 1 + 3 + 25 + 400 = 429.

(A) Required Probability for a person who has put one entry to win the grand prize is given by the fraction [tex]\frac{1}{175000}[/tex].

(B) Required Probability for a person who has put one entry to win any prize offered is given by [tex]\frac{429}{175000}[/tex].